Nm. Shapiro et Sk. Singh, A systematic error in estimating surface-wave group-velocity dispersion curves and a procedure for its correction, B SEIS S AM, 89(4), 1999, pp. 1138-1142
A systematic error is known to occur in estimating surface-wave group-veloc
ity dispersion when the multiple filter analysis technique is applied. The
error comes from the fall-off of the amplitude spectra at long periods. We
propose a method for correcting this error. It consists of using a centroid
frequency of the filtered spectrum instead of the central frequency of the
gaussian window. The method is especially useful when the group-velocity c
urve is obtained from stacking of individual frequency-time diagrams. We ap
ply this technique to two data sets. The first one consists of nine seismog
rams of coastal, subduction-zone earthquakes recorded by a broadband statio
n located in Mexico City. This data set has been previously used to estimat
e an average crustal structure of southern Mexico. The second data set cons
ists of broadband seismograms recorded in India and has been used to determ
ine an average structure of the Indian peninsular region. Our results show
that, in the first case, the systematic error is negligible. This is due to
the relatively low decay rate of the spectral amplitudes at long periods.
However, in the case of the Indian data, the systematic error of the multip
le filter analysis cannot be neglected since it changes significantly the m
easured dispersion curves and leads to errors in the estimated crustal stru
cture. Our tests show that the proposed method successfully corrects a majo
r part of the systematic error.